log 9 по основанию корень из 3. Created by dashasorokosea1. algebra-ru

log 9 по основанию корень из 3...

dashasorokosea1 @dashasorokosea1

August 2022 1 28 Report

log 9 по основанию корень из 3

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MrsVaderr

Verified answer

$\displaystyle log_{ \sqrt 3} 9 = log_{3^{\frac{1}{2}}} 3^2= \frac{1}{ \frac{1}{2}} \cdot 2 \cdot log_33= 2\cdot 2 \cdot 1 =4$
Проверим:
$(\sqrt 3)^4= \sqrt3 \cdot \sqrt 3 \cdot \sqrt 3 \cdot \sqrt 3 = 3 \cdot 3 =9$
Ответ: 4

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dashasorokosea1 July 2022 | 0 Ответы

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dashasorokosea1 July 2022 | 0 Ответы

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dashasorokosea1 July 2022 | 0 Ответы

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Answers & Comments

Verified answer

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